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Finding the Fourth Proportional to 12,036.24, 16,616.88 and 8,070.48

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Solution

The fourth proportional to 12,036.24, 16,616.88 and 8,070.48 is: 11,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.24 : 16,616.88 = 8,070.48 : x
  2. Step 2: Convert to fraction form
    12,036.24/16,616.88 = 8,070.48/x
  3. Step 3: Cross multiply
    12,036.24x = 16,616.88 × 8,070.48
  4. Step 4: Simplify right side
    12,036.24x = 134,106,197.70
  5. Step 5: Solve for x
    x = 134,106,197.70/12,036.24
  6. Step 6: Final answer
    x = 11,141.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.